Modular graph functions and odd cuspidal functions. Fourier and Poincaré series

Abstract Modular graph functions are SL(2, ℤ)-invariant functions associated with Feynman graphs of a two-dimensional conformal field theory on a torus of modulus τ. For one-loop graphs they reduce to real analytic Eisenstein series. We obtain the Fourier series, including the constant and non-const...

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Bibliographic Details
Main Authors: Eric D’Hoker, Justin Kaidi
Format: Article
Language:English
Published: SpringerOpen 2019-04-01
Series:Journal of High Energy Physics
Subjects:
Online Access:http://link.springer.com/article/10.1007/JHEP04(2019)136